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The figure below represents a school field.
Find the length of AB given that angle BAD and angle CBD are right angles.
(Solved)
The figure below represents a school field.

Find the length of AB given that angle BAD and angle CBD are right angles.
Date posted:
August 7, 2019
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Answers (1)
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The interior angle of a regular polygon is 9 times the exterior angle. How many sides does the
polygon have?
(Solved)
The interior angle of a regular polygon is 9 times the exterior angle. How many sides does the
polygon have?
Date posted:
August 7, 2019
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Answers (1)
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Three people Makori, Ondieki and Mosomi contributed money to start a business. Makori contributed a quarter of the total amount and Ondieki two fifth of...
(Solved)
Three people Makori, Ondieki and Mosomi contributed money to start a business. Makori contributed a quarter of the total amount and Ondieki two fifth of the remainder. Mosomi’s contribution was one and half times that of Makori. They borrowed the rest of the money from the bank which was sh. 60,000 less than Mosomi’s contribution. Find the total amount required to start the business.
Date posted:
August 7, 2019
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Answers (1)
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A two digit number is such that when the digits are reversed the value of the number increases by 9. Three times the sum of...
(Solved)
A two digit number is such that when the digits are reversed the value of the number increases by 9. Three times the sum of its digits is less than the value of the number by 8. Find the number.
Date posted:
August 7, 2019
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Answers (1)
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A tea blender buys two grades of tea at sh 60 and sh 80 per packet. Find the ratio in which he should mix them...
(Solved)
A tea blender buys two grades of tea at sh 60 and sh 80 per packet. Find the ratio in which he should mix them so that by selling the mixture at sh 90, a profit of 25% is realized.
Date posted:
August 7, 2019
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Answers (1)
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A water tank has a capacity of 50 litres. A similar model tank has a capacity of 0.25litres. if the
larger tank has a height of...
(Solved)
A water tank has a capacity of 50 litres. A similar model tank has a capacity of 0.25litres. if the
larger tank has a height of 100cm. calculate the height of the model tank.
Date posted:
August 7, 2019
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Answers (1)
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A line passes through the points A (2, 6) and B (4, -8). Find the equation of the perpendicular
bisector of line AB.
(Solved)
A line passes through the points A (2, 6) and B (4, -8). Find the equation of the perpendicular
bisector of line AB.
Date posted:
August 6, 2019
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Answers (1)
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Use Square roots, reciprocal and square tables to evaluate to 4 significant figures the expression.
(Solved)
Use Square roots, reciprocal and square tables to evaluate to 4 significant figures the expression.

Date posted:
August 6, 2019
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Answers (1)
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A two digit number is such that its value is equal four times the sum of its digits. If the digits
are interchanged, the new number...
(Solved)
A two digit number is such that its value is equal four times the sum of its digits. If the digits
are interchanged, the new number formed exceeds two-thirds of the original number by 52.
Find the original number.
Date posted:
August 6, 2019
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Answers (1)
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Using a ruler and a pair of compasses only construct.
a) A line PQ, 8cm long. On the line construct triangle PQR such that angle QPR...
(Solved)
Using a ruler and a pair of compasses only construct.
a) A line PQ, 8cm long. On the line construct triangle PQR such that angle QPR = 750 and
line PR = 7cm. measure line QR
b) Construct a circum circle of triangle PQR.
Date posted:
August 6, 2019
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Answers (1)
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A straight line passing through the points (8,-2) and (4,-4) has its equation in the form ax +
by + c = 0, where a, b...
(Solved)
A straight line passing through the points (8,-2) and (4,-4) has its equation in the form ax +
by + c = 0, where a, b and c are integers.
a) Determine the numerical values of a, b and c.
b) If the line in (a) above cuts the x-axis at point P, determine the coordinates of P.
c) Another line, which is perpendicular to the line in (a) above passes through point P and cuts the
y axis at Q. determine the coordinates of point Q.
d) Find the length of QP
Date posted:
August 6, 2019
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Answers (1)
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A man invests Ksh. 24,000 in an account which pays 16% interest p.a. the interest is compounded quarterly. Find the amount in the account after...
(Solved)
A man invests Ksh. 24,000 in an account which pays 16% interest p.a. the interest iscompounded quarterly. Find the amount in the account after 1 ½ years.
Date posted:
August 6, 2019
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Answers (1)
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The actual area of an estate is 3510 hectares. The estate is represented by a rectangle
measuring 2.6cm by 1.5 cm on the map whose scale...
(Solved)
The actual area of an estate is 3510 hectares. The estate is represented by a rectangle
measuring 2.6cm by 1.5 cm on the map whose scale is 1:n. Find the value of n.
Date posted:
August 6, 2019
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Answers (1)
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The circle below whose area is 18.05 cm2 circumscribes a triangle ABC where AB = 6.3
cm, BC = 5.7 and AC = 4.8cm. Find the...
(Solved)
The circle below whose area is 18.05 cm2 circumscribes a triangle ABC where AB = 6.3
cm, BC = 5.7 and AC = 4.8cm. Find the area of the shaded part.

Date posted:
August 6, 2019
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Answers (1)
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The distance between two towns M and N is 280 km. A car and a lorry travelled from M to N. The average speed of...
(Solved)
The distance between two towns M and N is 280 km. A car and a lorry travelled from M to N. The average speed of the lorry is 20 km less than that of the car. The lorry takes one hour twenty minutes more than the car, to travel the distance.
a) Find the speed of the car correct to 2 d.p
b) If the lorry started its journey from M to N at 8:15 am and the car started 4 hours 20 minutes later, in the same direction, at what time did the car overtake the lorry?
c) How far from town N will the lorry be when the car reaches town N correct to 2 d.p?
Date posted:
August 6, 2019
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Answers (1)
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A glass of radius 3 cm in the form of a cylinder contains water to a height of 9cm.
a) Find the volume of the water...
(Solved)
A glass of radius 3 cm in the form of a cylinder contains water to a height of 9cm.
a) Find the volume of the water in the glass correct to 2 decimal places.
b) When a spherical marble is submerged into the water in the glass, the water level rises by 1cm.
Calculate:
i. The volume of the marble correct to 2 decimal places.
ii. Radius of the marble correct to 2 decimal places.
iii. If the height of the glass is 13cm, calculate the surface area of the glass not in contact with water after the above process.
Date posted:
August 6, 2019
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Answers (1)
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A car dealer buys a car for Kshs.1, 250,000 and hire it for 25 weeks at a charge of Kshs. 3,500 per day. Insurance costs...
(Solved)
A car dealer buys a car for Kshs.1, 250,000 and hire it for 25 weeks at a charge of Kshs. 3,500 per day. Insurance costs Kshs. 33,700 during the entire period, at the end of which he sells it at Kshs. 750,000. Calculate the profit that he makes on the transaction.
Date posted:
August 6, 2019
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Answers (1)
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At 2.00 pm, a ship is at a position P from where a light house L is 12km away on a bearing of 320o. At...
(Solved)
At 2.00 pm, a ship is at a position P from where a light house L is 12km away on a bearing of 320o. At 4.00pm, the ship is at a position Q from where the lighthouse is now on a bearing of 035°. Given that the ship is traveling due West, find by calculation;
a) How far the lighthouse is from Q.
b) The speed of the ship.
c) The closest distance of the ship from the light house.
d) The lighthouse, point Q and point P were noted to be along the circumference of a circular field. Find the distance of P from the Centre of the field.
Date posted:
August 6, 2019
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Answers (1)
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Atieno is now four times as old as her daughter and six times as old as her son. Twelve years
from now, the sum of the...
(Solved)
Atieno is now four times as old as her daughter and six times as old as her son. Twelve years
from now, the sum of the ages of her daughter and son will differ from her age by 9 years. What
is Atieno’s present age?
Date posted:
August 6, 2019
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Answers (1)
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Find the area of the triangle below given that lines AB=25cm, BC = 15cm, AC = 14cm, BD =28cm and angle CBD =320.
(Solved)
Find the area of the triangle below given that lines AB=25cm, BC = 15cm, AC = 14cm, BD =28cm and angle CBD =320.

Date posted:
August 6, 2019
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Answers (1)